Finding the Fourth Proportional to 1,099.49, 1,641.40 and 1,061.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.49 : 1,641.40 = 1,061.05 : x
2. Step 2: Convert to fraction form
   1,099.49/1,641.40 = 1,061.05/x
3. Step 3: Cross multiply
   1,099.49x = 1,641.40 × 1,061.05
4. Step 4: Simplify right side
   1,099.49x = 1,741,603.79
5. Step 5: Solve for x
   x = 1,741,603.79/1,099.49
6. Step 6: Final answer
   x = 1,584.01